document.write( "Question 631734: Please help me solve this problem:\r
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document.write( "The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle. \r
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document.write( "Thank you so much! \n" );
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Algebra.Com's Answer #397825 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Please help me solve this problem:\r \n" ); document.write( "\n" ); document.write( "The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle. \r \n" ); document.write( "\n" ); document.write( "Thank you so much! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let original width of rectangle be W \n" ); document.write( "Then original length = W + 7 \n" ); document.write( "Increasing length by 2 makes it W + 7 + 2, or (W + 9) cm \n" ); document.write( "Increasing width by 4 makes it (W + 4) cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Original area = LW, or W(W + 7), or \n" ); document.write( "Adjusted area = LW, or (W + 9)(W + 4), or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since adjusted area is increased by \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "13W - 7W = 20\r \n" ); document.write( "\n" ); document.write( "6W = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W, or original width = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Original length = W + 7, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You should be able to do the check!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |